Finding the Third Proportional to 27,659,801,113,070 and 61,503,938,981,465
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Solution
The third proportional to 27,659,801,113,070 and 61,503,938,981,465 is: 136,759,280,906,337.62
Step by Step Solution
- Step 1: Write the proportion equation
27,659,801,113,070 : 61,503,938,981,465 = 61,503,938,981,465 : x - Step 2: Convert to fraction form
27,659,801,113,070/61,503,938,981,465 = 61,503,938,981,465/x - Step 3: Cross multiply
27,659,801,113,070x = 61,503,938,981,465 × 61,503,938,981,465 - Step 4: Simplify right side
27,659,801,113,070x = 3,782,734,510,235,770,115,281,911,808 - Step 5: Solve for x
x = 3,782,734,510,235,770,115,281,911,808/27,659,801,113,070 - Step 6: Final answer
x = 136,759,280,906,337.62
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.